SylabUZ
| Course name | Introduction to analysis of astrophysical time series |
| Course ID | 13.7-WF-FizP-IAATS-S17 |
| Faculty | Faculty of Physics and Astronomy |
| Field of study | Physics |
| Education profile | academic |
| Level of studies | First-cycle studies leading to Bachelor's degree |
| Beginning semester | winter term 2020/2021 |
| Semester | 5 |
| ECTS credits to win | 3 |
| Available in specialities | Astrofizyka komputerowa |
| Course type | obligatory |
| Teaching language | english |
| Author of syllabus |
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| The class form | Hours per semester (full-time) | Hours per week (full-time) | Hours per semester (part-time) | Hours per week (part-time) | Form of assignment |
| Lecture | 15 | 1 | - | - | Credit with grade |
| Class | 15 | 1 | - | - | Credit with grade |
Ability to analysing time series based on pulsar observations. Use of Fourier transform and interpretation of results from carrying out time series analysis.
Finished courses: Basic programming.I ntroduction to higher physics and mathematics. Mathematical analysis.
LECTURE:
- Pulsar emission as a numerical time series.
- Spectral analysis of pulsar emission.
- Fourier series.
- Finding of amplitude and power spectrum of periodic series.
- Application of Fourier transform to calculation of amplitude and power spectrum of chosen periodic series.
- Spectral analysis of non-periodic pulsar emission.
- Spectral analysis of random signal from pulsars.
- Numerical methods of spectral analysis of pulsars:
a) Rules of analogue-digital signal processing; digital filtering
b) Discrete Fourier transform – DFT
c) Fast Fourier transform – FFT
d) Numerical calculation of spectral density
e) Numerical calculation of the cross-spectral density
- Special methods of the spectral analysis of signal from pulsars.
CLASS:
- Working and usage of Fourier transform and fast.
- Time series simulations.
- Searching for periodicities in a sample of real and simulated data using computer programme.
- Spectral analysis of pulsar emission.
a) Fourier transform
b) Calculation of amplitude and power spectrum of periodic series
c) Application of Fourier transform to calculation of amplitude and power spectrum of chosen periodic series
- Spectral analysis of non-periodic pulsar emission.
- Spectral analysis of random signal from pulsars.
Lecture, calculus exercises, writing computer programmes.
| Outcome description | Outcome symbols | Methods of verification | The class form |
Class: pass all tests and all programming tasks (project).
Lecture: Exam allowed only with a positive class grade. Oral exam. Pass condition – satisfactory grade.
Final grade: 50% class grade+ 50% exam grade.
[1] E. Ozimek, Podstawy teoretyczne analizy widmowej sygnałów, PWN, Warszawa-Poznań, 1985.
[2] L. H. Koopmans, The spectral analysis of time series, Academic Press, New York, 1974
[1] C. Я. Aдзерихо, Введение в линейную алгебру, теорию поля и ряады фурье, Издательство ''Вышейшая школа'', Минск, 1968.
Modified by dr hab. Piotr Lubiński, prof. UZ (last modification: 04-06-2020 14:58)
